There are no unexpected tunnel number one knots of genus one

Simple item page
dc.creatorScharlemann, Martin
dc.date2001-06-04
dc.date.accessioned2026-07-07T04:41:58Z
dc.date.available2026-07-07T04:41:58Z
dc.descriptionThe only knots that are tunnel number one and genus one are those that are already known: 2-bridge knots obtained by plumbing together two unknotted annuli and the satellite examples classified by Eudave-Munoz and by Morimoto-Sakuma. This confirms a conjecture first made by Goda and Teragaito.
dc.description73 pp. including 30 figures
dc.identifierhttps://arxiv.org/abs/math/0106017
dc.identifierhttp://arxiv.org/abs/math/0106017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61580
dc.subjectGeometric Topology
dc.subject57M25
dc.titleThere are no unexpected tunnel number one knots of genus one
dc.typetext

Files

Collections

arXiv